A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 5% of the true proportion.(a) No preliminary estimate is available. Find the minimum sample size needed( round up to the nearest whole number as needed)(b) Find the minimum sample size needed using a prior study that found 44% of the respondents said they think their president can control the price of gasoline( round up to the nearest whole number as needed)(c) compare the results from parts (a) and (b)